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Find the resultant shape obtained by connecting points (30, 5), (10, 15), (15, 15), (5, 5)
Clockâ€™s hour and minute hand overlap â€¦â€¦. Times in a day
\(\left(11111+\dfrac{1}{11111}\right)\left(11111+\dfrac{1}{11111}\right)\left(11111\dfrac{1}{11111}\right)\left(11111\dfrac{1}{11111}\right)= \)
If \( BC \) is a diameter of the circle and \(\angle BAO=40^o \). Then find the value of \( \angle ADC\)
AB is a diameter of the circle. If A and B are connected to E circle is intersected at C and D respectively. If AB = 16 cm, CD = 8 cm angle AEB =
F (x)= 4x + 3, Find the inverse of F.
If AB and PQ are parallel compute the angle y
At what point does the line represented by the equation 6x + 3y = 51 intersects a line which is parallel to the 4 axis and cut a distance of 4 units from the origin and in the positive direction of xaxis?
If \(N=11111^2 \), The sum of digits in the expansion of \( N=\)
The letters of the word PROBABILITY are rearranged in a random order. What is the probability that the letters have exactly 3 letters between them?
If D + C = 2A and A + B = 2D which of the following is correct?
Surjeet and pradeep sit on the 6 member board of directors for company P. If the board is to be split upto two 3 person subcommittee. What % of all the possible subcommittee that include Pradip also includes surjeet.
Two candles have different length and thickness. The shorter lasts II hours and the longer 8 hours when both are lit simultaneously. If after 5 hours of their being lit together at the same time both have the same length. Find the ratio of their original length.
How many 4 digit number are there that have at least digit 5?
Ria and Gautam each have a bag that contains one ball each of the colors pink, black, grey, blue and white. Ria randomly selects a ball and put it in Gautam bag. Gautam randomly selects a ball from his ball and put it in Riaâ€™s bag. What is the probability that after this the contents of the bag are same as before?
If a and b are rational numbers such that \(a\sqrt2=b\sqrt{17} \). Then the possible values of a and b are
ABCD is a rectangle and point p is such that PA = 3 cm, PB = 4 cm, PC = \(3\sqrt2 \) cm. find the value of PD
The average of a list of integers goes up by 3 when 39 is added to the list. If 9 is added to the new list then the average reduces by 1. How many integers was theme in the original list?
A line passes through the points (1, 1) and (2, 5). Find the yintercept of the line
Ria selects 3 numbers randomly from the following set of 5 numbers 5, 9, 10, 1 and 6. She puts them in the form of a proper fraction of the type \(a\dfrac{b}{c} \). What is the probability that she will get a fraction greater than \(1\dfrac{16}{17} \)?
Amir got an average score of 80.75 in 4 tests. He got 82 as the average of the highest 3 scores and her lowest scores are the same numbers. What is the average of his highest two scores?
Find the radius of largest sphere that is carved out of the cube of side 8 cm.
If a prime number is less than 31 what is the probability that it is also less than 17?
A sphere is just enclosed inside a cube of volume \(84\ cm^3 \). Findthe volume ofthe sphere.
AC is a diameter of the semicircle and BD is perpendicular to AC. If AB = 8 cm and BC = 2 cm. Find BD
There is a circular park of radius 15 meters. Three friends Ajay, Iqbal and Ashish are sitting at equal distance on its boundary each having a toy telephone in their hands to talk with each other. Find the length of the string between a pair of the telephone.
Factorise \((81y^4288y^2+256) \)
If \(\dfrac{x}{y}+\dfrac{y}{x}=1\ (x,y\ne0) \) the value of \(x^3+y^3 \)
Find the volume of the biggest cone that can fit inside a cube of side 6 cm.
From among a group of 3 men 3 women and 7 children, 2 individuals are selected randomly. What is the probability that exactly among the chosen are children?
ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and \(\angle ADC=115^o \). The value of \(\angle BAC \) is
Gauri reaches her college 20 minute late by travelling at a speed of 20 km/hr and reaches 1 minute early by travelling at a speed of 25km/hr. By how much time will she be early or late if she travels at 30 km/ hr
A bag contains 4 red balls, 6 blue balls, 5 green balls. Sulekha draws 2 balls out of the bag. What is the probability that she gets a green ball and blue ball?
If \(g(x)=\dfrac{2x3}{x1} \), find \(g^{1}(x) \) when \(x=5 \)
If \(x+y6t=0 \), find the value of \(\dfrac{x}{x3t}+\dfrac{3t}{y3t} \)
The bisector of opposite angles of a cyclic quadrilateral ABCD intersect the circle circumscribing it at the points P and Q. If radius of the circle is 15 cm. Find the distance between P and Q.
There are 600 soldiers and captains in a naval ship. If there is one captain for every 9 soldiers. Find the number of soldiers in a naval ship.
If AB and PQ are parallel. Compute the angle x.
You are given a number N with the property that every next digit of N is greater than the previous digit. Now multiply N by 9. What is the sum of the digits of the number?
A cube is painted with red colour on its all six faces. If the cube is cut into equal 216 small cubes. How many small cubes will have at least one face coloured?
The sum of two numbers is 30 and larger number exceeds the smaller by 6. The number are
The sum of the digits of a two digit number is 8. If 18 is added to the number then the resultant number is equal to the number obtaining by reversing the digits of the original number. The original number is
In the given figure, ABCD is a cyclic quadrilateral, \(\angle DAB=50^o \) and \(\angle ABC=80^o,\overline{EG} \) and \(\overline{FG} \) are the angle bisectors of \(\angle DEC \) and \(\angle BFC \). Find \(\angle FHG \)
A circle is placed in a rectangle such that it touches both the lengths of the rectangle. If the radius of the circle is onefourth of the length of the rectangle, find the ratio of the area of the region in the rectangle that is not covered by the circle to the area of the circle
A cap is in the form of a cone of radius 7 cm and height 24 cm. Find the area of the paper required to make the cap
The inner diameter of an ice cream cone is 7 cm and to height is 12 cm. Find the volume of ice cream that the cone can contain
A hollow hemispherical bowl of thickness 1 cm has an inner radius of 6 cm. Find the volume of metal required to make the bowl.
The distance between (4, 5) and (2, 3) is
Find a if the distance between points A(8, 7) and B(4, a) is 13 units
The median of 11, 5, 3, 13, 16, 9, 18, 10 is